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Liula [17]
3 years ago
14

Solve the compound inequality. 4v+2> -2 or 3v-5<7

Mathematics
1 answer:
xz_007 [3.2K]3 years ago
6 0

The compound inequality of 4v + 2 > -2  or 3v - 5 < 7 is -1 < v < 4

<u>Solution:</u>

Need to solve following compound equality.  

4v + 2 > -2    ------(1)

3v – 5 < 7      ------(2)

Lets first solve (1)

4v + 2 > -2

=> 4v > - 2 - 2

=> 4v > -4

=> v > -1          ------condition 1

On solving second equation we get,

3v – 5 < 7

=> 3v < 7 + 5

=> 3v < 12

=> v < 4           ------condition 2

From condition 1 and 2 we get, -1 < v < 4

Hence on solving given compound inequalities we get -1 < v < 4.

That is v must be between -1 and 4 to satisfy both inequalities

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Please help me out with this!!<br> BRAINLIEST AVAILABLE!!
lapo4ka [179]

Answer:

xy = 1

k = 79

Step-by-step explanation:

Question One

The first and third frames look to me to be the same. I'll treat them that way.

y = x^2                        Equate y = x^2 to the result of 2y + 6 = 2x + 6

2y + 6 = 2(x + 3)         Remove the brackets

2y + 6 = 2x + 6           Subtract 6 from both sides

2y = 2x                       Divide by 2

y = x

Now solve these two equations.

so x^2 = x                  

x > 0

1 solution is x = 0 from which y = 0. This won't work. x must be greater than 0. So the other is

x(x) = x                           Divide both sides by x            

x = 1                            

y = x^2                           Put x = 1 into x^2

y = 1^2                           Solve

y = 1                      

The second solution is

(1,1)

xy = 1*1

xy = 1

Answer: A

Question Two

square root(k + 2) - x = 0

Subtract x from both sides

sqrt(k + 2) = x                Square both sides

k + 2 = x^2                    Let x = 9

k + 2 = 9^2                    Square 9

k + 2 = 81

k = 81 - 2

k = 79

4 0
3 years ago
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